From c7ca6674fa72e58cf54bc57a042c21d498bcac90 Mon Sep 17 00:00:00 2001
From: Pierre Kunzli <pierre.kuenzli@unige.ch>
Date: Tue, 27 Sep 2022 11:40:04 +0200
Subject: [PATCH] ajout contenu cours 2

---
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 create mode 100644 Programmation/Cours/01-command_line.pdf
 rename {Exercices => Programmation/Exercices}/serie_01.md (100%)
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 create mode 100644 Programmation/Exercices/serie_03.pdf

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+---
+title: "Module Algorithmie et programmation"
+patat:
+  eval:
+    tai:
+      command: fish
+      fragment: false
+      replace: true
+    ccc:
+      command: fish
+      fragment: false
+      replace: true
+  images:
+    backend: auto
+subtitle: "Introduction au langage C"
+author: "Pierre Künzli"
+institute: "Inspiré des cours de Paul Albuquerque, Guido Bologna et Orestis Malaspinas"
+lang: fr-CH
+revealjs-url: /reveal.js
+mathjaxurl: "https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS_HTML"
+---
+
+## Le langage C, historique
+
+- Conçu initialement pour la programmation des systèmes d’exploitation (UNIX).
+- Créé par Dennis Ritchie à Bell Labs en 1972 dans la continuation de CPL, BCPL et B.
+- Standardisé entre 1983 et 1988 (ANSI C).
+- La syntaxe de C est devenue la base d’autres langages comme C++, Objective-C, Java, Go, C#, Rust, etc.
+- Révisions plus récentes, notamment C99, C11, puis C18.
+
+## Le langage C, historique
+
+- Développement de C lié au développement d’UNIX.
+- UNIX a été initialement développé en assembleur:
+    - instructions de très bas niveau,
+    - instructions spécifiques à l’architecture du processeur.
+- Pour rendre UNIX portable, un langage de *haut niveau* (en 1972) était nécessaire.
+- Comparé à l’assembleur, le C est :
+    - Un langage de "haut niveau": C offre des fonctions, des structures de données, des constructions de contrôle de flots (`while`{.C}, `for`{.C}, etc).
+    - Portable: un programme C peut être exécuté sur un *très grand nombre* de plateformes (il suffit de recompiler le *même code* pour l’architecture voulue).
+
+## Qu'est-ce que le C?
+
+- "Petit langage simple" (en 2022).
+- Langage compilé, statiquement (et faiblement) typé, procédural, portable, très efficace.
+- Langage "bas niveau" (en 2022): gestion explicite et manuelle de la mémoire (allocation/désallocation), grande liberté pour sa manipulation.
+- Pas de structures de haut niveau: chaînes de caractères, vecteurs dynamiques, listes, ...
+- Aucune validation ou presque sur la mémoire (pointeurs, overflows, ...).
+
+
+# La simplicité de C?
+
+## 32 mots-clé et c'est tout
+
+---------------- -------------- ---------------- ---------------
+`auto`{.C}       `double`{.C}   `int`{.C}        `struct`{.C}   
+`break`{.C}      `else`{.C}     `long`{.C}       `switch`{.C}   
+`case`{.C}       `enum`{.C}     `register`{.C}   `typedef`{.C}  
+`char`{.C}       `extern`{.C}   `return`{.C}     `union`{.C}    
+`const`{.C}      `float`{.C}    `short`{.C}      `unsigned`{.C} 
+`continue`{.C}   `for`{.C}      `signed`{.C}     `void`{.C}
+`default`{.C}    `goto`{.C}     `sizeof`{.C}     `volatile`{.C}
+`do`{.C}         `if`{.C}       `static`{.C}     `while`{.C}
+---------------- -------------- ---------------- ---------------
+
+# Déclaration et typage
+
+En C lorsqu'on veut utiliser une variable (ou une constante), on doit déclarer son type
+
+```C
+const double two = 2.0; // déclaration et init.
+int x;   // déclaration (instruction)
+char c;  // déclaration (instruction)
+x = 1;   // affectation (expression)
+c = 'a'; // affectation (expression)
+int y = x; // déclaration et initialisation en même temps
+int a, b, c; // déclarations multiples
+a = b = c = 1; // init. multiples
+```
+
+# Les variables 
+
+## Variables et portée
+
+- Une variable est un identifiant, qui peut être liée à une valeur (une expression).
+- Une variable a une **portée** qui définit où elle est *visible* (où elle peut être accédée).
+- La portée est **globale** ou **locale**.
+- Une variable est **globale** est accessible à tout endroit d'un programme et doit être déclarée en dehors de toute fonction.
+- Une variable est **locale** lorsqu'elle est déclarée dans un **bloc**, `{...}`{.C}.
+- Une variable est dans la portée **après** avoir été déclarée.
+
+## Exemple 
+
+```C
+float max; // variable globale accessible partout
+int foo() {
+    // max est visible ici
+    float a = max; // valide
+    // par contre les varibles du main() ne sont pas visibles
+}
+int main() {
+    // max est visible ici
+    int x = 1; // x est locale à main
+    {
+        // x est visible ici, y pas encore
+        // on peut par exemple pas faire x = y;
+        int y = 2;
+    } // y est détruite à la sortie du bloc
+} // x est dàtruite à la sortie de main
+
+```
+
+# Représentation des variables en mémoire 
+
+## La mémoire
+
+* La mémoire est:
+    - ... un ensemble de bits,
+    - ... accessible via des adresses,
+
+  +------+----------+----------+------+----------+------+------+
+  | bits | 00110101 | 10010000 | .... | 00110011 | .... | .... |
+  +======+==========+==========+======+==========+======+======+
+  | addr | 2000     | 2001     | .... | 4000     | .... | .... |
+  +------+----------+----------+------+----------+------+------+
+
+    - ... gérée par le système d'exploitation.
+    - ... séparée en deux parties: **la pile** et **le tas**.
+
+## Une variable
+
+* Une variable, `type a = valeur`{.C}, possède:
+    - un type (`char`{.C}, `int`{.C}, ...),
+    - un contenu (une séquence de bits qui encode `valeur`{.C}),
+    - une adresse mémoire (accessible via `&a`{.C}),
+    - une portée.
+
+
+## Représentation des variables en mémoire 
+
+![Les variables en mémoire.](figs/memory.svg){width=100%}
+
+# Types de base 
+
+## Numériques
+
+Type                               Signification (**gcc pour x86-64**)            
+---------------------------------- ---------------------------------------------
+`char`{.C}, `unsigned char`{.C}    Entier signé/non-signé 8-bit
+`short`{.C}, `unsigned short`{.C}  Entier signé/non-signé 16-bit
+`int`{.C}, `unsigned int`{.C}      Entier signé/non-signé 32-bit
+`long`{.C}, `unsigned long`{.C}    Entier signé/non-signé 64-bit
+`float`{.C}                        Nombre à virgule flottante, simple précision
+`double`{.C}                       Nombre à virgule flottante, double précision
+---------------------------------- ---------------------------------------------
+
+**La signification de `short`{.C}, `int`{.C}, ... dépend du compilateur et de l'architecture.**
+
+## Numériques
+
+Voir `<stdint.h>` pour des représentations **portables**
+
+Type                               Signification
+---------------------------------- ---------------------------------------------
+`int8_t`{.C}, `uint8_t`{.C}        Entier signé/non-signé 8-bit
+`int16_t`{.C}, `uint16_t`{.C}      Entier signé/non-signé 16-bit
+`int32_t`{.C}, `uint32_t`{.C}      Entier signé/non-signé 32-bit
+`int64_t`{.C}, `uint64_t`{.C}      Entier signé/non-signé 64-bit
+---------------------------------- ---------------------------------------------
+
+
+
+## Booléens
+
+- Le ANSI C n'offre pas de booléens.
+- L'entier `0`{.C} signifie *faux*, tout le reste *vrai*.
+- Depuis C99, la librairie `stdbool` met à disposition un type `bool`{.C}.
+- En réalité c'est un entier:
+  - $1 \Rightarrow$ `true`{.C}
+  - $0 \Rightarrow$ `false`{.C}
+- On peut les manipuler comme des entier (les sommer, les multiplier, ...).
+
+## Void
+
+Le type `void` est un type particulier, qui représente l'absence de donnée, de type ou un type indéterminé. On ne peut pas déclarer une variable de type `void`.
+
+## Conversions
+
+- Les conversions se font de manière:
+  - Explicite:
+    ```C
+    int a = (int)2.8;
+    double b = (double)a;
+    int c = (int)(2.8+0.5);
+    ```
+  - Implicite:
+    ```C
+    int a = 2.8; // warning, si activés, avec clang
+    double b = a + 0.5;
+    char c = b; // pas de warning...
+    int d = 'c';
+    ```
+
+# Expressions et opérateurs 
+
+Une expression est tout bout de code qui est **évalué**.
+
+## Expressions simples
+
+- Pas d'opérateurs impliqués.
+- Les littéraux, les variables, et les constantes.
+
+```C
+const int L = -1; // 'L' est une constante, -1 un littéral
+int x = 0;        // '0' est un litéral
+int y = x;        // 'x' est une variable
+int z = L;        // 'L' est une constante
+```
+
+## Expressions complexes
+
+- Obtenues en combinant des *opérandes* avec des *opérateurs*
+
+```C
+int x;     // pas une expression (une instruction)
+x = 4 + 5; // 4 + 5 est une expression
+           // dont le résultat est affecté à 'x'
+```
+
+
+## Opérateurs relationnels
+
+Opérateurs testant la relation entre deux *expressions*:
+
+  - `(a opérateur b)` retourne `1`{.C} si l'expression s'évalue à `true`{.C}, `0`{.C} si l'expression s'évalue à `false`{.C}.
+
+| Opérateur | Syntaxe      | Résultat             |
+|-----------|--------------|----------------------|
+| `<`{.C}   | `a < b`{.C}  | 1 si a <  b; 0 sinon |
+| `>`{.C}   | `a > b`{.C}  | 1 si a >  b; 0 sinon |
+| `<=`{.C}  | `a <= b`{.C} | 1 si a <= b; 0 sinon |
+| `>=`{.C}  | `a >= b`{.C} | 1 si a >= b; 0 sinon |
+| `==`{.C}  | `a == b`{.C} | 1 si a == b; 0 sinon |
+| `!=`{.C}  | `a != b`{.C} | 1 si a != b; 0 sinon |
+
+
+## Opérateurs logiques
+
+| Opérateur | Syntaxe      | Signification        |
+|-----------|--------------|----------------------|
+| `&&`{.C}  | `a && b`{.C} | ET logique           |
+| `||`{.C}  | `a || b`{.C} | OU logique           |
+| `!`{.C}   | `!a`{.C}     | NON logique          |
+
+
+## Opérateurs arithmétiques
+
+| Opérateur | Syntaxe      | Signification        |
+|-----------|--------------|----------------------|
+| `+`{.C}   | `a + b`{.C}  | Addition             |
+| `-`{.C}   | `a - b`{.C}  | Soustraction         |
+| `*`{.C}   | `a * b`{.C}  | Multiplication       |
+| `/`{.C}   | `a / b`{.C}  | Division             |
+| `%`{.C}   | `a % b`{.C}  | Modulo               |
+
+
+## Opérateurs d'assignation
+
+| Opérateur | Syntaxe      | Signification                               |
+|-----------|--------------|---------------------------------------------|
+| `=`{.C}   | `a = b`{.C}  | Affecte la valeur `b` à la variable `a`     |
+|           |              | et retourne la valeur de `b`                |
+| `+=`{.C}  | `a += b`{.C} | Additionne la valeur de `b` à `a` et        |
+|           |              | assigne le résultat à `a`.                  |
+| `-=`{.C}  | `a -= b`{.C} | Soustrait la valeur de `b` à `a` et         |
+|           |              | assigne le résultat à `a`.                  |
+| `*=`{.C}  | `a *= b`{.C} | Multiplie la valeur de `b` à `a` et         |
+|           |              | assigne le résultat à `a`.                  |
+| `/=`{.C}  | `a /= b`{.C} | Divise la valeur de `b` à `a` et            |
+|           |              | assigne le résultat à `a`.                  |
+| `%=`{.C}  | `a %= b`{.C} | Calcule le modulo la valeur de `b` à `a` et |
+|           |              | assigne le résultat à `a`.                  |
+
+
+## Opérateurs d'assignation (suite)
+
+| Opérateur | Syntaxe      | Signification                               |
+|-----------|--------------|---------------------------------------------|
+| `++`{.C}  | `++a`{.C}    | Incrémente la valeur de `a` de 1 et         |
+|           |              | retourne le résultat (`a += 1`).            |
+| `--`{.C}  | `--a`{.C}    | Décrémente la valeur de `a` de 1 et         |
+|           |              | retourne le résultat (`a -= 1`).            |
+| `++`{.C}  | `a++`{.C}    | Retourne `a`{.C} et incrémente `a` de 1.    |
+| `--`{.C}  | `a--`{.C}    | Retourne `a`{.C} et décrémente `a` de 1.    |
+
+
+# Structures de contrôle: `if`{.C} .. `else if`{.C} .. `else`{.C} 
+
+## Syntaxe
+
+```C
+if (expression) {
+    instructions;
+} else if (expression) { // optionnel
+                         // il peut y en avoir plusieurs
+    instructions; 
+} else { // optionnel
+    instructions; 
+}
+```
+
+```C
+if (x) { // si x s'évalue à `vrai`
+    printf("x s'évalue à vrai.\n");
+} else if (y == 8) { // si y vaut 8
+    printf("y vaut 8.\n");
+} else {
+    printf("Ni l'un ni l'autre.\n");
+}
+```
+
+
+
+## Pièges
+
+```C
+int x, y;
+x = y = 3;
+if (x = 2) // affectation au lieu de comparaison
+    printf("x = 2 est vrai.\n");
+else if (y < 8)
+    printf("y < 8.\n");
+else if (y == 3) // n'entrera jamais dans cette branche
+    printf("y vaut 3 mais cela ne sera jamais affiché.\n");
+else
+    printf("Ni l'un ni l'autre.\n");
+    x = -1; // toujours évalué
+```
+
+# Structures de contrôle: `switch`{.C} .. `case`{.C} 
+
+```C
+switch (expression) {
+    case constant-expression:
+        instructions;
+        break; // optionnel
+    case constant-expression:
+        instructions;
+        break; // optionnel
+    // ...
+    default:
+        instructions;
+}
+```
+
+**Que se passe-t-il si `break`{.C} est absent?**
+
+## Structures de contrôle: `switch`{.C} .. `case`{.C} 
+
+```C
+int x = 0;
+switch (x) {
+    case 0:
+    case 1:
+        printf("0 ou 1\n");
+        break;
+    case 2:
+        printf("2\n");
+        break;
+    default:
+        printf("autre\n");
+}
+``` 
+
+**Dangereux, mais c'est un moyen d'avoir un "ou" logique dans un case.**
+
+
+# Structures de contrôle: `while`{.C}
+
+## La boucle `while`{.C}
+
+```C
+while (condition) {
+    instructions;
+}
+```
+
+ou
+
+```C
+do {
+    instructions;
+} while (condition);
+```
+
+## La boucle `while`{.C}, un exemple
+
+```C
+int sum = 0; // syntaxe C99
+while (sum < 10) {
+    sum += 1;
+}
+do {
+    sum += 10;
+} while (sum < 100)
+```
+
+
+
+# Structures de contrôle: `for`{.C}
+
+## La boucle `for`{.C}
+
+```C
+for (expression1; expression2; expression3) {
+    instructions;
+}
+```
+
+## La boucle `for`{.C}
+
+```C
+int sum = 0; // syntaxe C99
+for (int i = 0; i < 10; i++) {
+    sum += i;
+}
+
+for (int i = 0; i != 1; i = rand() % 4) { // ésotérique
+    printf("C'est plus ésotérique.\n");
+}
+```
+
+
+
+# Structures de contrôle: `continue`{.C}, `break`{.C}
+
+- `continue`{.C} saute à la prochaine itération d'une boucle.
+
+    ```C
+    int i = 0;
+    while (i < 10) {
+        if (i == 3) {
+            continue;
+        }
+        printf("%d\n", i);
+        i += 1;
+    }
+    ```
+
+- `break`{.C} quitte le bloc itératif courant d'une boucle.
+
+    ```C
+    for (int i = 0; i < 10; i++) {
+        if (i == 3) {
+            break;
+        }
+        printf("%d\n", i);
+    }
+    ```
+
+# Exercice: la factorielle
+
+Écrire un programme qui calcule la factorielle d'un nombre
+$$
+N! = 1\cdot 2\cdot ... \cdot (N-1)\cdot N.
+$$
+
+## Ecrire un pseudo-code
+
+. . .
+
+```C
+int factorielle(int n) {
+    i = 1;
+    fact = 1;
+    pour i <= n {
+        fact *= i;
+        i += 1;
+    }
+}
+```
+
+
+## Ecrire un code en C
+
+
+. . .
+
+```C
+#include <stdio.h>
+int main() {
+   int nb = 10;
+   int fact = 1;
+   int iter = 1;
+   while (iter <= nb) {
+      fact *= iter;
+      iter++;
+   }
+}
+```
+
+. . .
+
+### Comment améliorer ce code ? A faire en exercice.
+
+
+# Entrées/sorties: `printf()`{.C} 
+
+## Généralités
+
+- La fonction `printf()`{.C} permet d'afficher du texte sur le terminal:
+
+    ```C
+    int printf(const char *format, ...);
+    ```
+- Nombre d'arguments variables.
+- `format`{.C} est le texte, ainsi que le format (type) des variables à afficher.
+- Les arguments suivants sont les expressions à afficher.
+
+
+## Exemple
+
+```C
+#include <stdio.h>
+#include <stdlib.h>
+
+int main() {
+    printf("Hello world.\n");
+    int val = 1;
+    printf("Hello world %d time.\n", val);
+    printf("%f squared is equal to %f.\n", 2.5, 2.5*2.5);
+    return EXIT_SUCCESS;
+}
+```
+
+. . . 
+
+### Remarque : ici la fonction `main` retourne `int` au lieu de `void` pour pouvoir retourner un code d'erreur.
+
+# Entrées/sorties: `scanf()`{.C} 
+
+## Généralités
+
+- La fonction `scanf()`{.C} permet de lire du texte formaté entré au clavier:
+
+    ```C
+    int scanf(const char *format, ...);
+    ```
+
+- `format`{.C} est le format des variables à lire (comme `printf()`{.C}).
+- Les arguments suivants sont les variables où sont stockées les valeurs lues.
+
+
+## Exemple
+
+```C
+#include <stdio.h>
+#include <stdlib.h>
+
+int main() {
+    printf("Enter 3 numbers: \n");
+    int i, j, k;
+    scanf("%d %d %d", &i, &j, &k);
+    printf("You entered: %d %d %d\n", i, j, k);
+    
+    return EXIT_SUCCESS;
+}
+```
+
+
+# Les fonctions 
+
+- Les parties indépendantes d'un programme.
+- Permettent de modulariser et compartimenter le code.
+- Syntaxe:
+
+    ```C
+    type identificateur(paramètres) { 
+        // variables optionnelles
+        instructions;
+        // type expression == type
+        return expression; 
+    }
+    ```
+
+
+## Exemple
+
+```C
+int max(int a, int b) {
+    if (a > b) {
+        return a;
+    } else {
+        return b;
+    }
+}
+
+int main() {
+    int c = max(4, 5);
+}
+```
+
+## Les fonctions 
+
+- Il existe un type `void`{.C}, "sans type", en C.
+- Il peut être utilisé pour signifier qu'une fonction ne retourne rien, ou qu'elle n'a pas d'arguments.
+- `return`{.C} utilisé pour sortir de la fonction.
+- Exemple:
+
+    ```C
+    void show_text(void) { // second void optionnel
+        printf("Aucun argument et pas de retour.\n");
+        return; // optionnel
+    }
+
+    void show_text_again() { // c'est pareil
+        printf("Aucun argument et pas de retour.\n");
+    }
+    ```
+
+## Prototypes de fonctions
+
+- Le prototype donne la **signature** de la fonction, avant qu'on connaisse son implémentation.
+- L'appel d'une fonction doit être fait **après** la déclaration du prototype.
+
+    ```C
+    int max(int a, int b); // prototype
+
+    int max(int a, int b) { // implémentation
+        if (a > b) {
+            return a;
+        } else {
+            return b;
+        }
+    }
+    ```
+
+
+## Arguments de fonctions
+
+- Les arguments d'une fonction sont toujours passés **par copie**.
+- Les arguments d'une fonction ne peuvent **jamais** être modifiés.
+
+    ```C
+    void set_to_two(int a) { // a: nouvelle variable
+        // valeur de a est une copie de x
+        // lorsque la fonction est appelée, ici -1
+
+        a = 2; // la valeur de a est fixée à 2
+    } // a est détruite
+
+    int main() {
+        int x = -1;
+        set_to_two(x); // -1 est passé en argument
+        // x vaudra toujours -1 ici
+    }
+    ```
+
+
+## Arguments de fonctions: pointeurs
+
+- Pour modifier un variable, il faut passer son **adresse mémoire**.
+- L'adresse d'une variable, `x`{.C}, est accédé par `&x`{.C}.
+- Un **pointeur** vers une variable entière a le type, `int *x`{.C}.
+- La syntaxe `*x`{.C} sert à **déréférencer** le pointeur (à accéder à la mémoire pointée).
+
+
+## Exemple
+
+```C
+void set_to_two(int *a) { 
+    // a contient une copie de l'adresse de la
+    // variable passée en argument
+
+    *a = 2; // on accède à la valeur pointée par a,
+            // et on lui assigne 2
+} // le pointeur est détruit, pas la valeur pointée
+int main() {
+    int x = -1;
+    set_to_two(&x); // l'adresse de x est passée
+    // x vaudra 2 ici
+}
+```
\ No newline at end of file
diff --git a/Algorithmique/Cours/02-intro-c.pdf b/Algorithmique/Cours/02-intro-c.pdf
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diff --git a/Exercices/serie_01.md b/Programmation/Exercices/serie_01.md
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diff --git a/Programmation/Exercices/serie_03.md b/Programmation/Exercices/serie_03.md
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--- /dev/null
+++ b/Programmation/Exercices/serie_03.md
@@ -0,0 +1,47 @@
+---
+title: "Programmation séquentielle"
+subtitle: "Série 3 -  Estimation de la valeur de pi"
+date: 27.09.2022
+---
+
+# Buts
+
+- Utilisation de boucles, tests et nombres aléatoires
+
+# 1 - Estimation de $\pi$ à l'aide de séries numériques
+
+Ecrire un programme qui calcule différentes approximations de la valeur de $\pi$ en vous servant des formules
+ci-dessous. La constante `M_PI` est déclaré dans le header `<math.h>`, utiliser cette valeur comme référence pour estrimer l'erreur
+dans les approximations.
+
+## Formules
+
+\begin{equation} 
+\sum_{n=1}^{\infty} {1 \over {n^4}} = {\pi^4 \over 90}
+\end{equation}
+
+\begin{equation} 
+\sum_{n=1}^{\infty} {{(-1)^{n+1}} \over {n^2}} = {\pi^2 \over 12}
+\end{equation}
+
+\begin{equation}
+\prod_{n=1}^{\infty} \left( {2n \over {2n-1}} \right) \left( {2n \over {2n+1}} \right) = {\pi \over 2}
+\end{equation}
+
+Pour exécuter votre programme, vous aurez besoin de la librairie `math` :
+
+ `#include <math.h>` et compiler avec l'option `-lm`.
+
+Vous aurez également besoin des fonctions `pow` et `sqrt`. Utiliser `man 3 pow` et `man 3 sqrt` pour obtenir la documentation de ces fonctions.
+
+# 2 - Estimation de $\pi$ par la méthode de Monte-Carlo
+
+Considérons le carré $C = [-1, 1] x [-1, 1]$. Si on tire une probabilité uniforme un point (x, y), quelle est la
+probabilité que ce point tombe dans le disque $D$ de rayon 1 centré en (0, 0) ? Cette probabilité est en fait
+égale au rapport de l’aire du disque sur l’aire du carré.
+
+En effectuant $N$ tirages et en comptabilisant la variable $cpt$ de fois pour laquelle le point tombe dans $D$, le
+rapport $cpt/N$ donne une estimation de la probabilité de tomber dans le disque et donc du rapport de l’aire
+du disque sur l’aire du carré. Si vous faites un dessein vous vous apercevrez que $cpt/N \rightarrow \pi/4$. Cette
+estimation est d’autant meilleure que N est grand. Pour déterminer si un point tiré aléatoirement est dans le
+disque $D$ pensez au théorème de Pythagore.
\ No newline at end of file
diff --git a/Programmation/Exercices/serie_03.pdf b/Programmation/Exercices/serie_03.pdf
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-- 
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